Power of a Product

When a product is inside the parentheses and a power is on the outside of the parentheses, then the outside power multiplies the exponent of each element inside.

Power of a Product Rule: Product_1

*Note: This rule applies to a product only. If there is a sum or difference inside, refer to the steps of multiplying binomials.

Example 1 Simplify the following expression: (x2y)4

Step 1. Rewrite the expression with each element inside the parentheses to the power on the outside.

ProductEx1-2b

Step 2. Use the Power of a Power Rule.

Product_ex1-2

Example 2 Simplify Product_ex2 .

Use the Power of a Product Rule to simplify the expression.

Product_ex2-2

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